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建立数学模型,用来检验各种超员订票方案对于航空公司收入的影响,以求找到一个最优订票策略,就是说,航空公司对一个特定的航班订票应当超员的人数,使得公司的收入达到最高。确保你的模型反映上述问题,而且考虑处理“延误”乘客的其他办法。此外,书写一份简短的备忘录给航空公司的CEO(首席执行官),概述你的发现和分析。(王强译) - c6 m! x" s% O( H' U1 iProblem B 1 i6 U' ^, A0 JAuthors: Bill Fox and Rich West & M$ I8 M8 J* _* X' ZTitle: Airline Overbooking You're all packed and ready to go on a trip to visit your best friend in New York City. After you check in at the ticket counter, the airline clerk announces that your flight has been overbooked. Passengers need to check in immediately to determine if they still have a seat. Historically, airlines know that only a certain percentage of passengers who have made reservations on a particular flight will actually take that flight. Consequently, most airlines overbook-that is, they take more reservations than the capacity of the aircraft. Occasionally, more passengers will want to take a flight than the capacity of the plane leading to one or more passengers being bumped and thus unable to take the flight for which they had reservations. Airlines deal with bumped passengers in various ways. Some are given nothing, some are booked on later flights on other airlines, and some are given some kind of cash or airline ticket incentive. Consider the overbooking issue in light of the current situation:
Less flights by airlines from point A to point B
Heightened security at and around airports
Passengers' fear
Loss of billions of dollars in revenue by airlines to date 2 @. ?5 U' G1 w# Z' w
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Build a mathematical model that examines the effects that different overbooking schemes have on the revenue received by an airline company in order to find an optimal overbooking strategy, i.e., the number of people by which an airline should overbook a particular flight so that the company's revenue is maximized. Insure that your model reflects the issues above, and consider alternatives for handling "bumped" passengers. Additionally, write a short memorandum to the airline's CEO summarizing your findings and analysis.